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Finding the Third Proportional to 273,521.81 and 368,220.94

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Solution

The third proportional to 273,521.81 and 368,220.94 is: 495,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,521.81 : 368,220.94 = 368,220.94 : x
  2. Step 2: Convert to fraction form
    273,521.81/368,220.94 = 368,220.94/x
  3. Step 3: Cross multiply
    273,521.81x = 368,220.94 × 368,220.94
  4. Step 4: Simplify right side
    273,521.81x = 135,586,658,813.38
  5. Step 5: Solve for x
    x = 135,586,658,813.38/273,521.81
  6. Step 6: Final answer
    x = 495,706.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.